College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 4 - Exponential and Logarithmic Functions - Exercise Set 4.5 - Page 504: 18

Answer

8, 4, 2, 1, 0.5 grams, respectively

Work Step by Step

After 25,000 years, $ 16\cdot \displaystyle \frac{1}{2}=8$ grams remain. After 50,000 years, ( another half-life) $8 \displaystyle \cdot\frac{1}{2}=4$ grams remain. After 75,000 years, ( another half-life) $4\displaystyle \cdot\frac{1}{2}=2$ grams remain. After 100,000 years, ( another half-life) $2 \displaystyle \cdot\frac{1}{2}=1$ grams remain. After 125,000 years, ( another half-life) $1 \displaystyle \cdot\frac{1}{2}=\frac{1}{2}$ grams remain.
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